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1020330444 = 223758720693
BaseRepresentation
bin111100110100010…
…000000111001100
32122002221011020110
4330310100013030
54042201033234
6245125120020
734166444220
oct7464200714
92562834213
101020330444
11483a4a401
12245859010
13133507b33
1499720780
155e89a1e9
hex3cd101cc

1020330444 has 48 divisors (see below), whose sum is σ = 2725648128. Its totient is φ = 291012288.

The previous prime is 1020330427. The next prime is 1020330481. The reversal of 1020330444 is 4440330201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1020330444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38962 + ... + 59654.

It is an arithmetic number, because the mean of its divisors is an integer number (56784336).

Almost surely, 21020330444 is an apocalyptic number.

1020330444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020330444 is an abundant number, since it is smaller than the sum of its proper divisors (1705317684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020330444 is a wasteful number, since it uses less digits than its factorization.

1020330444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21294 (or 21292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1020330444 is about 31942.6117279098. The cubic root of 1020330444 is about 1006.7314012335.

Adding to 1020330444 its reverse (4440330201), we get a palindrome (5460660645).

The spelling of 1020330444 in words is "one billion, twenty million, three hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 587 1174 1761 2348 3522 4109 7044 8218 12327 16436 20693 24654 41386 49308 62079 82772 124158 144851 248316 289702 434553 579404 869106 1738212 12146791 24293582 36440373 48587164 72880746 85027537 145761492 170055074 255082611 340110148 510165222 1020330444